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101101340017 is a prime number
BaseRepresentation
bin101111000101000011…
…1000000010101110001
3100122221221000012201201
41132022013000111301
53124023420340032
6114240104331201
710206246132226
oct1361207002561
9318857005651
10101101340017
1139971086167
1217716773b01
1396c2a3c322
144c7142b94d
15296ac878e7
hex178a1c0571

101101340017 has 2 divisors, whose sum is σ = 101101340018. Its totient is φ = 101101340016.

The previous prime is 101101339993. The next prime is 101101340069. The reversal of 101101340017 is 710043101101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53349912576 + 47751427441 = 230976^2 + 218521^2 .

It is an emirp because it is prime and its reverse (710043101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101340017 - 223 = 101092951409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101339976 and 101101340003.

It is not a weakly prime, because it can be changed into another prime (101101340117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550670008 + 50550670009.

It is an arithmetic number, because the mean of its divisors is an integer number (50550670009).

Almost surely, 2101101340017 is an apocalyptic number.

It is an amenable number.

101101340017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101340017 is an equidigital number, since it uses as much as digits as its factorization.

101101340017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 101101340017 its reverse (710043101101), we get a palindrome (811144441118).

The spelling of 101101340017 in words is "one hundred one billion, one hundred one million, three hundred forty thousand, seventeen".